BibTex RIS Kaynak Göster

Regularization Short-Time Fourier Transform in Extended Colmbeau Algebra

Yıl 2014, Cilt: 2 Sayı: 3, 233 - 241, 01.12.2014

Fariba Tattahi Mohsen Alimohammady

Öz

This paper describes the moderateness of Short-time Fourier transform via the Caputo fractional derivative. Moreover, weconsider some properties of the generalized STFT in extended Colmbeau algebra

Anahtar Kelimeler

Colombeau algebra STFT Caputo fractional derivative

Kaynakça

  • J. F. Colombeau, New generalized functions and Multiplication of distributions, North-Holland, Amsterdam, 1984.
  • J. F. Colombeau and A. Y. L. Roux, Multiplications of distributions in elasticity and hydrodynamics, J. Math. Phys., 29 (1988), 315-319.
  • J. F. Colombeau, Elementary Introduction to New Generalized Functions, North-Holland Math. Studies Vol. 113, North-Holland, Amsterdam 1985.
  • J. ˘Sahbegovi ´c, Short-Time Fourier Transform and Modulation Spaces in Algebras of Generalized Functions , University of Vienna, (2009).
  • D. Rajter- ´Ciri ´c, M. Stojanovi ´c , Convolution type derivatives and transforms of Colombeau generalized stochastic processes, Integral Transforms and Special Functions, 22 (2011), 319-326.
  • M. Oberguggenberger, Multiplication of Distributions and Applications to Partial Differential Equations, Pitman Research Notes in Mathematics 259. Longman Scientific and Technical, 1992.
  • K. Grochenig.”Foundations of Time-Frequency Analysis”, Birkhauser, Boston, 2001.

Regularization Short-time Fourier transform in extended

Yıl 2014, Cilt: 2 Sayı: 3, 233 - 241, 01.12.2014

Fariba Tattahi Mohsen Alimohammady

Öz

Kaynakça

  • J. F. Colombeau, New generalized functions and Multiplication of distributions, North-Holland, Amsterdam, 1984.
  • J. F. Colombeau and A. Y. L. Roux, Multiplications of distributions in elasticity and hydrodynamics, J. Math. Phys., 29 (1988), 315-319.
  • J. F. Colombeau, Elementary Introduction to New Generalized Functions, North-Holland Math. Studies Vol. 113, North-Holland, Amsterdam 1985.
  • J. ˘Sahbegovi ´c, Short-Time Fourier Transform and Modulation Spaces in Algebras of Generalized Functions , University of Vienna, (2009).
  • D. Rajter- ´Ciri ´c, M. Stojanovi ´c , Convolution type derivatives and transforms of Colombeau generalized stochastic processes, Integral Transforms and Special Functions, 22 (2011), 319-326.
  • M. Oberguggenberger, Multiplication of Distributions and Applications to Partial Differential Equations, Pitman Research Notes in Mathematics 259. Longman Scientific and Technical, 1992.
  • K. Grochenig.”Foundations of Time-Frequency Analysis”, Birkhauser, Boston, 2001.
Toplam 7 adet kaynakça vardır.

Ayrıntılar

Bölüm Articles
Yazarlar

Fariba Tattahi Bu kişi benim

Mohsen Alimohammady Bu kişi benim

Yayımlanma Tarihi 1 Aralık 2014
Yayımlandığı Sayı Yıl 2014 Cilt: 2 Sayı: 3

Kaynak Göster

APA Tattahi, F., & Alimohammady, M. (2014). Regularization Short-Time Fourier Transform in Extended Colmbeau Algebra. New Trends in Mathematical Sciences, 2(3), 233-241.
AMA Tattahi F, Alimohammady M. Regularization Short-Time Fourier Transform in Extended Colmbeau Algebra. New Trends in Mathematical Sciences. Aralık 2014;2(3):233-241.
Chicago Tattahi, Fariba, ve Mohsen Alimohammady. “Regularization Short-Time Fourier Transform in Extended Colmbeau Algebra”. New Trends in Mathematical Sciences 2, sy. 3 (Aralık 2014): 233-41.
EndNote Tattahi F, Alimohammady M (01 Aralık 2014) Regularization Short-Time Fourier Transform in Extended Colmbeau Algebra. New Trends in Mathematical Sciences 2 3 233–241.
IEEE F. Tattahi ve M. Alimohammady, “Regularization Short-Time Fourier Transform in Extended Colmbeau Algebra”, New Trends in Mathematical Sciences, c. 2, sy. 3, ss. 233–241, 2014.
ISNAD Tattahi, Fariba - Alimohammady, Mohsen. “Regularization Short-Time Fourier Transform in Extended Colmbeau Algebra”. New Trends in Mathematical Sciences 2/3 (Aralık 2014), 233-241.
JAMA Tattahi F, Alimohammady M. Regularization Short-Time Fourier Transform in Extended Colmbeau Algebra. New Trends in Mathematical Sciences. 2014;2:233–241.
MLA Tattahi, Fariba ve Mohsen Alimohammady. “Regularization Short-Time Fourier Transform in Extended Colmbeau Algebra”. New Trends in Mathematical Sciences, c. 2, sy. 3, 2014, ss. 233-41.
Vancouver Tattahi F, Alimohammady M. Regularization Short-Time Fourier Transform in Extended Colmbeau Algebra. New Trends in Mathematical Sciences. 2014;2(3):233-41.